These gates allow the implementation of the universal set of unitaries \(\lbrace  H, S, T, CNOT\rbrace \)  [1]} by using combinations of the MS gate and single-qubit rotations (see Fig.REF  for more details). Furthermore, for the static-string approach with single-ion laser addressing, the system has full two-qubit connectivity with this gate set. This allows for a better connected system of qubits, which benefits the performance, reducing the number of gates required to reproduce a general circuit [2]}.
